Information on Result #679245
Linear OA(4188, 16449, F4, 33) (dual of [16449, 16261, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4187, 16448, F4, 32) (dual of [16448, 16261, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(4188, 8224, F4, 2, 33) (dual of [(8224, 2), 16260, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4188, 5483, F4, 3, 33) (dual of [(5483, 3), 16261, 34]-NRT-code) | [i] | ||